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Finding the Fourth Proportional to 21,967.30, 30,314.49 and 11,895.66

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Solution

The fourth proportional to 21,967.30, 30,314.49 and 11,895.66 is: 16,415.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,967.30 : 30,314.49 = 11,895.66 : x
  2. Step 2: Convert to fraction form
    21,967.30/30,314.49 = 11,895.66/x
  3. Step 3: Cross multiply
    21,967.30x = 30,314.49 × 11,895.66
  4. Step 4: Simplify right side
    21,967.30x = 360,610,866.11
  5. Step 5: Solve for x
    x = 360,610,866.11/21,967.30
  6. Step 6: Final answer
    x = 16,415.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.